Magnetic oscillations in silicene

• Main Authors: Escudero, Federico, Ardenghi, Juan Sebastián, Jasen, Paula
• Format: Journal Article
• Language: English
• Published: 04-06-2018
• Subjects: Physics - Materials Science; Physics - Mesoscale and Nanoscale Physics
• DOI: 10.48550/arxiv.1806.01415

Journal of Magnetism and Magnetic Materials, Volume 454, 15 May
2018, Pages 131-138 In this work the magnetic oscillations (MO) in pristine silicene at $T=0$ K
are studied. Considering a constant electron density we obtain analytical
expressions for the ground state internal energy and magnetization, under a
perpendicular electric and magnetic field, taking in consideration the Zeeman
effect. It is found that the MO are sawtooth-like, depending on the change in
the last occupied energy level. This leads us to a classification of the MO
peaks in terms of the Landau level (LL), valley or spin changes. Using this
classification we analyze the MO for different values of the electric field
$E_{z}$. When $E_{z}=0$, the energy levels have a valley degeneracy and the MO
peaks occur only whenever the last energy level changes its LL and/or spin.
When $E_{z}\neq0$, the valley degeneracy is broken and new MO peaks appear,
associated with the valley change in the last energy level. By analyzing the MO
peaks amplitude it is possible to extract information about the Fermi velocity
and the spin-orbit interaction strength. Finally we analyze the MO frequencies,
which can also be associated with the change of LL, valley or spin in the last
energy level.